"regular closed" meaning in English

See regular closed in All languages combined, or Wiktionary

Adjective

Etymology: Apparently a backformation from regular closed set. Etymology templates: {{m|en||regular closed set}} regular closed set Head templates: {{en-adj|-}} regular closed (not comparable)
  1. (rare, mathematics, of a set) Being the closure of its interior. Tags: not-comparable, rare Categories (topical): Mathematics Related terms: regular open
    Sense id: en-regular_closed-en-adj-WrWu5Zcl Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Download JSON data for regular closed meaning in English (1.3kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "",
        "3": "regular closed set"
      },
      "expansion": "regular closed set",
      "name": "m"
    }
  ],
  "etymology_text": "Apparently a backformation from regular closed set.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "regular closed (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The set {0,1,2} is closed, but is not regular closed, because its interior is Ø, so the closure of its interior is Ø."
        }
      ],
      "glosses": [
        "Being the closure of its interior."
      ],
      "id": "en-regular_closed-en-adj-WrWu5Zcl",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "closure",
          "closure"
        ],
        [
          "interior",
          "interior"
        ]
      ],
      "raw_glosses": [
        "(rare, mathematics, of a set) Being the closure of its interior."
      ],
      "raw_tags": [
        "of a set"
      ],
      "related": [
        {
          "word": "regular open"
        }
      ],
      "tags": [
        "not-comparable",
        "rare"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "regular closed"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "",
        "3": "regular closed set"
      },
      "expansion": "regular closed set",
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  ],
  "etymology_text": "Apparently a backformation from regular closed set.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "regular closed (not comparable)",
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  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "regular open"
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  ],
  "senses": [
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        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English terms with rare senses",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The set {0,1,2} is closed, but is not regular closed, because its interior is Ø, so the closure of its interior is Ø."
        }
      ],
      "glosses": [
        "Being the closure of its interior."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "closure",
          "closure"
        ],
        [
          "interior",
          "interior"
        ]
      ],
      "raw_glosses": [
        "(rare, mathematics, of a set) Being the closure of its interior."
      ],
      "raw_tags": [
        "of a set"
      ],
      "tags": [
        "not-comparable",
        "rare"
      ],
      "topics": [
        "mathematics",
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      ]
    }
  ],
  "word": "regular closed"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.